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http://dx.doi.org/10.4134/BKMS.b151021

MONOTONICITY PROPERTIES OF THE BESSEL-STRUVE KERNEL  

Baricz, Arpad (Institute of Applied Mathematics Obuda University)
Mondal, Saiful R. (Department of Mathematics and Statistics King Faisal University)
Swaminathan, Anbhu (Department of Mathematics Indian Institute of Technology Roorkee)
Publication Information
Bulletin of the Korean Mathematical Society / v.53, no.6, 2016 , pp. 1845-1856 More about this Journal
Abstract
In this paper our aim is to study the classical Bessel-Struve kernel. Monotonicity and log-convexity properties for the Bessel-Struve kernel, and the ratio of the Bessel-Struve kernel and the Kummer confluent hypergeometric function are investigated. Moreover, lower and upper bounds are given for the Bessel-Struve kernel in terms of the exponential function and some $Tur{\acute{a}}n$ type inequalities are deduced.
Keywords
modified Bessel and Struve functions of the first kind; Bessel-Struve kernel; confluent hypergeometric function; inequalities; bounds; $Tur{\acute{a}}n$ type inequalities; monotonicity; log-convexity;
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